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- Title
The Influence of Combined Concentrated and Distributed Follower Forces on the Eigensolutions of a Spinning Beam.
- Authors
Han, Ray P. S.; Zu, Jean W.
- Abstract
The free vibrations of a spinning Timoshenko beam under the action of the nonconservative follower forces are solved analytically for the first time. Three types of follower-force system are considered: concentrated follower forces, distributed follower forces and, combined concentrated and distributed follower forces. The resulting characteristic equation for computing frequencies is very complicated and a novel solution algorithm involving symbolic algebraic operations with each term determined recursively, is proposed. Critical values of the concentrated follower forces that correspond to the onset of the flutter-type instability for the first four modes of vibration are presented.
- Subjects
GIRDERS; EIGENVALUES; FORCE &; energy
- Publication
International Journal of Structural Stability & Dynamics, 2001, Vol 1, Issue 2, p263
- ISSN
0219-4554
- Publication type
Article
- DOI
10.1142/S0219455401000160